Much of mathematics is about finding a pattern – a recognisable link between quantities that change. In our daily lives, we often come across patterns that characterise relations such as mother and daughter, brother and sister, father and son, teacher and student, and so on. In mathematics as well, there are relations between numbers that …
What is the chance of you landing on heads in a coin toss? What is the chance of getting an ace card from a pack of cards? What is the chance of getting an even number on both the dices on flipping them? This can all be answered if you know probability in mathematics. In …
Can you evaluate the square of 98? Yes, we can do it easily by writing it as subtraction of 100 and 2, and apply the formula for the whole square of a + b. Now, what if you need to find the value of 98 to the power 5. Can you solve this easily? No …
What is the square root of -4? Can’t answer right? This is because we have learned the roots of only positive integers so far. This is why we cannot find the roots of equations like x2 + 1 = 0. To solve these kinds of quadratic equations, we require the knowledge of complex numbers over …
From sorting out vegetables to building complex mathematical structures, from arranging utensils in your kitchen drawers to computing chains of data in coding software, all require the knowledge of sets in mathematics. In this chapter, we will be learning the basics of sets, the method of their representation, their types, converting between one type to another, …
What makes a human superior to other animals is the ability to reason. Be it a scientific fact or the law of nature, we can always find a reason why something happens the way it does. In mathematics too, reasoning plays an integral role and can be broadly classified into two – inductive and deductive. In …
Limits and Derivatives is your stepping stone into the world of Calculus, the branch of mathematics that is a fundamental building block of classical and quantum physics. In this chapter, learn about the notations of derivatives, derivatives of trigonometric functions, rules of differentiation, and some useful tricks to remember the derivatives of trigonometric functions.
Statistics is the science of collecting data and analysing it for future references or decision making. In today’s world, no company, share market, or scientific research run without the knowledge of statistical data handling. In his course, we will revise the previously learned statistical tools like mean, median & mode, learn the measures of dispersion, absolute …
The world we live in is not a 2-dimensional entity that we usually study in coordinate geometry. In fact, there is a third axis to this graph, which makes the objects around us 3-dimensional. A ball, a book, a pen, a table, a car, and even your own body are 3-dimensional. In this chapter, we …
Did you know that just like straight lines, there are mathematical equations to represent curves too? Yes, be it a circle, an ellipse, a parabola, or a hyperbola, all classify as conic sections and there is always an equation to represent each one of them on a graph paper. In this chapter, we will learn …
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